Stability Analysis Of Swarms With Distributed Delays

Swarm intelligence is the global intelligent behavior which is shown by simple agents’ local interactions. This behavior can be used to solve many complicated problems in real life. The precondition of finishing tasks depends on whether the individual is aggregated stably.The stability of the swarm aggregation model with distribution delays is discussed using Lyapunov stability theory.First of all, swarm’s aggregation model only with individual interaction is consid-ered, coupled with distributed delays in the model, and the sufficient conditions for the stability of systems is obtained.Then swarm’s aggregation model with with environmental gradient effects is dis-cussed, finally coupled with distributed delays in the model, and the sufficient conditions for the stability of systems is obtained.